#
On the Geometry of Some Special Projective Varieties
Resource Information
The work ** On the Geometry of Some Special Projective Varieties** represents a distinct intellectual or artistic creation found in **Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.

The Resource
On the Geometry of Some Special Projective Varieties
Resource Information

The work

**On the Geometry of Some Special Projective Varieties**represents a distinct intellectual or artistic creation found in**Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- On the Geometry of Some Special Projective Varieties

- Statement of responsibility
- by Francesco Russo

- Language
- eng

- Summary
- Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. It also provides a solution of Hartshorneâs Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results, using the modern tools of Mori Theory and of rationally connected manifolds. The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once this embedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry

- Image bit depth
- 0

- LC call number
- QA564-609

- Literary form
- non fiction

- Series statement
- Lecture Notes of the Unione Matematica Italiana,

- Series volume
- 18

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